DocumentCode :
2385909
Title :
Nonembeddability theorems via Fourier analysis
Author :
Khot, Subhash ; Naor, Assaf
Author_Institution :
Coll. of Comput., Georgia Inst. of Technol., Atlanta, GA, USA
fYear :
2005
fDate :
23-25 Oct. 2005
Firstpage :
101
Lastpage :
110
Abstract :
Various new nonembeddability results (mainly into L1) are proved via Fourier analysis. In particular, it is shown that the edit distance on {0, 1}d has L1 distortion (log d)12 - o(1)/. We also give new lower bounds on the L1 distortion of quotients of the discrete hypercube under group actions, and the transportation cost (Earthmover) metric.
Keywords :
Fourier analysis; computational complexity; Earthmover metric; Fourier analysis; edit distance; nonembeddability theorem; transportation cost metric; Approximation algorithms; Computational geometry; Computer science; Costs; Educational institutions; Extraterrestrial measurements; Harmonic analysis; Hypercubes; Surges; Transportation;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Foundations of Computer Science, 2005. FOCS 2005. 46th Annual IEEE Symposium on
Print_ISBN :
0-7695-2468-0
Type :
conf
DOI :
10.1109/SFCS.2005.54
Filename :
1530705
Link To Document :
https://search.ricest.ac.ir/dl/search/defaultta.aspx?DTC=49&DC=2385909
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